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Simplifying 32x2 + 4x + 3 = 0 Reorder the terms: 3 + 4x + 32x2 = 0 Solving 3 + 4x + 32x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.09375 + 0.125x + x2 = 0 Move the constant term to the right: Add '-0.09375' to each side of the equation. 0.09375 + 0.125x + -0.09375 + x2 = 0 + -0.09375 Reorder the terms: 0.09375 + -0.09375 + 0.125x + x2 = 0 + -0.09375 Combine like terms: 0.09375 + -0.09375 = 0.00000 0.00000 + 0.125x + x2 = 0 + -0.09375 0.125x + x2 = 0 + -0.09375 Combine like terms: 0 + -0.09375 = -0.09375 0.125x + x2 = -0.09375 The x term is 0.125x. Take half its coefficient (0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. 0.125x + 0.00390625 + x2 = -0.09375 + 0.00390625 Reorder the terms: 0.00390625 + 0.125x + x2 = -0.09375 + 0.00390625 Combine like terms: -0.09375 + 0.00390625 = -0.08984375 0.00390625 + 0.125x + x2 = -0.08984375 Factor a perfect square on the left side: (x + 0.0625)(x + 0.0625) = -0.08984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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